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一类双圈图的两种指标的排序 被引量：12

Orderings of a class of bicyclic graphs with respect to two kinds of indices
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摘要 研究了双圈图Tnr,,kp,,lq的Merrifield-Simmons指标和Hosoya指标,并给出了这两种指标的排序。 The Merrifield-Simmons index and Hosoya index of the class of bicyclic graphs Tn,p,q^r,k,l are investigated and their orderings with respect to these two indices are obtained.
作者 周旭冉 王力工
机构地区 西北工业大学理学院应用数学系
出处 《山东大学学报（理学版）》 CAS CSCD 北大核心 2011年第11期44-47,52,共5页 Journal of Shandong University(Natural Science)
基金 国家自然科学基金资助项目(11171273 10871158) 陕西省自然科学基础研究计划资助项目(SJ08A01) 教育部留学回国人员科研基金资助项目
关键词 双圈图 MERRIFIELD-SIMMONS指标 HOSOYA指标 排序 bicyclic graphs Merrifield-Simmons index Hosoya index order
分类号 O157.6 [理学—基础数学]
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参考文献16

  • 1BONDY J A, MURTY U S R. Graph theory with applications[M]. New York: The Macmillan Press, 1976.
  • 2PRODINGER H, TICHY R F. Fibonacci numbers of graph[J]. The Fibonacci Quaterly, 1982, 20( 1 ) :16-21.
  • 3HOSOYA H. Topological index. A newly proposed quantity characterizing the topological nature of structural isomers of satu: rated hydrocarbons[J]. Bull Chem Soc Jpn, 1971,44(9) : 2332-2339.
  • 4GUTMAN I, POLANSKY O E. Mathematical concept in organic chemistry[M]. Berlin: Springer, 1986.
  • 5MERRIFIELD R E, SIMMONS H E. Topological methods in chemistry[M]. New York: Wiley, 1989.
  • 6GUTMAN I. Acyclic systems with extremal Huckel a-r-electron energy[J]. Theor Chim Acta, 1977, 45:79-87.
  • 7DENG Hanyuan, CHEN Shubo. The extremal uncyclic graphs with respect to Hosoya index and Merrifield-Simmons index [J]. MATCH Commun Math Comput Chem, 2008, 59 : 171-190.
  • 8DENG Hanyuan. The largest Hosoya index of ( n, n + 1 ) graphs[J]. Comput Math Appl, 2008, 56:2499-2506.
  • 9GUTMAN I. Correction of the paper "Graphs with greatest number of matchings" [J]. Publ Inst Math ( Beograd), 1982, 32 (46) : 61-63.
  • 10XU Kexiang, GUTMAN I. The greatest Hosoya index of bicyclic graphs with given maximum degree [J]. MATCH Commun Math Comput Chem, 2011, 66 (3) :795-824.

同被引文献121

  • 1MERRIFIELD R E, SIMMONS H E. Topological methods in chemistry[M]. New York : Wiley, 1989.
  • 2HOSOYA H. Topological index[J]. Bull Chem Soc Japan, 1971,44 : 2332-2339.
  • 3GUTMAN I, POLANSKY O E. Mathematical Concepts in Organic Chemistry[M]. Berlin: Springer, 1986.
  • 4GUTMAN I,CYVIN S J. Introduction to the theory of benzenoid hydrocarbons[M]. Berlin: Springer, 1989.
  • 5YE Yali, PAN Xiangfeng, LIU Huiqing. Ordering unicyclic graphs with respect to Hosoya indices and Merrifield-Simmons indices [J]. MATCH Commun Math Comput Chem, 2008,59 : 191-202.
  • 6DENG Hanyuan, CHEN Shubo , ZHANG Jie. The Merrifield-Simmons index in (n,n q- 1)- graphs[J]. Journal of Mathematical Chemistry, 2008, 43 (1): 75-91.
  • 7DENG Hanyuan. The smallest Merrifield-Simmons index of (n,n q- 1) -graphs[J]. Math Comput Model, 2009,49 (1/2) : 320-326.
  • 8DENG Hanyuan. The smallest Hosoya index in (n,n-q- 1) -graphs[J]. Journal of Mathematical Chemistry, 2008,43(1) : 119-133.
  • 9XU Kexiang,GUTMAN I. The greatest Hosoya index of bicyclic graphs with given maximum degree [J]. MATCH Commun Math Comput Chem, 2011,66 ( 3 ) : 795-824.
  • 10ZHU Zhongxun, LI Shuchao, TAN Liansheng. Tricyclie graphs with maximum merrifield-Simmons index[J]. Discrete Applied Mathematics, 2010, 158 (3) 204-212.

引证文献12

二级引证文献4

山东大学学报（理学版）
2011年 第11期

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